The infinite series 2x + 3x²/8 + 4x³/27 + ... + ((n+1)/n³)xⁿ + ... is…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

The infinite series 2x + 3x²/8 + 4x³/27 + ... + ((n+1)/n³)xⁿ + ... is convergent if :

  1. A.

    x > 1

  2. B.

    x ≤ 1

  3. C.

    x < 1

  4. D.

    None of the above

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